A203710 Number of (n+1)X2 0..5 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

406, 5411, 64568, 680400, 6489940, 57269565, 475164554, 3751457500, 28439396482, 208468893647, 1485783530684, 10341422407224, 70546056791520, 473056332125577, 3125814445750542, 20394520446794452, 131617722687439662

Offset

1,1

Comments

Column 1 of A203714

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 40*a(n-1) -725*a(n-2) +7890*a(n-3) -57598*a(n-4) +298496*a(n-5) -1133650*a(n-6) +3211340*a(n-7) -6839701*a(n-8) +10954608*a(n-9) -13092665*a(n-10) +11477170*a(n-11) -7151500*a(n-12) +2994456*a(n-13) -754560*a(n-14) +86400*a(n-15)

Example

Some solutions for n=4
..2..1....1..2....4..3....2..0....5..4....0..5....2..4....5..3....5..1....5..3
..4..5....1..5....2..5....3..5....4..5....0..5....2..4....3..5....1..5....3..5
..4..5....1..5....4..3....3..5....4..5....3..3....5..5....4..4....1..5....3..5
..4..5....4..2....2..5....3..5....4..5....1..5....5..5....3..5....1..5....3..5
..4..5....3..3....5..3....3..5....4..5....3..3....5..5....5..3....4..2....3..5

Crossrefs

Sequence in context: A203944 A203937 A203714 * A251096 A233052 A210329

Adjacent sequences: A203707 A203708 A203709 * A203711 A203712 A203713

Keyword

nonn

Author

R. H. Hardin Jan 04 2012

Status

approved